Question

Use algebraic rules to show that n(n+1)+2n +2 is equivalent to (n+1)(n+2)

Answer 1

This question is asking us to solve both of these equations, so let's do exactly that!

First equation:

`n(n+1)+2n+2\\n^2+1n+2n+2\\n^2+3n+2`

Second Equation:

`(n+1)(n+2)\\n^2+2n+1n+2\\n^2+3n+2`

Both of the equations result with the same answer, therefore n(n+1)+2n+2 is equivalent to (n+1)(n+2).

Hope that helped! :)